Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
Answer:
C)h(x) = x-3
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".
f(x) is the y value.
y = x + 3
x = y + 3 Switch x and y
x - 3 = y Subtract 3 from both sides to isolate
y = x - 3 Change back to function of h
h(x) = x - 3
Answer:
<h3>4.c</h3><h3>5.a</h3>
Step-by-step explanation:
<h3>#CARRY ON LEARNING</h3><h3>#MARK BRAINLITS</h3>
Problem 1
Answer: Independent
The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.
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Problem 2
Answer: Dependent
Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).
